Preprint

Inserted: 3 jul 2026
Last Updated: 3 jul 2026

Year: 2026

Abstract:

We establish the global-in-time existence of a codimension $1$ canonical multi-phase free boundary Brakke flow in the upper halfspace which is integer rectifiable up to the boundary, starting from a countably $n$-rectifiable set. Under a suitable uniform density ratio assumption on the initial datum, we show that the free boundary carries no positive mass for some short time.

Tags: SiGmA